• Ways of calculating entropy cont, cont2
• Ideal gas law
• For a reaction $a\text A+b \text B\leftrightarrow c\text C+d\text D$ we have
• Different energies
• Partition function discrete:
• Helmholtz energy, entropy, pressure
• Density function $g(k)$
• For a large number of indistinguishable particles the partition function can be approximated
• Average number of particles and quantum concentration and mean occupancy
• Other pressure relations and entropy
• For microstates with $E_n=n\epsilon$ we use $-$ for single occupancy $+$
• Single particle energy levels for fermions and bosons respectively
• All density of states
• energy particle number and velocity
• speed of a particle with wavenumber $k$ and photon energy
• Fermi everything
• Pressure for ideal classical gas and for Fermi gas
• All derivative relations
• For an ideal gas
• Magnetisation relation and Grand potential